论文标题
庞加莱的全体形态叶子与非脱位奇异性的度量
Poincaré metric of holomorphic foliations with non-degenerate singularities
论文作者
论文摘要
考虑一个在紧凑的复杂歧管上，带有非脱位奇异性的Brody双曲线叶子$ \ Mathscr {f} $。我们表明，它的叶子庞加莱度量是横向hölder连续的，对数斜率朝向$ \ m rathscr {f} $的奇异集。
Consider a Brody hyperbolic foliation $\mathscr{F}$ with non-degenerate singularities on a compact complex manifold. We show that its leafwise Poincaré metric is transversally Hölder continuous with a logarithmic slope towards the singular set of $\mathscr{F}$.
